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Answered by
0
Answer:
S1=3-4= -1
S2= 3(2)^2 - 4×2=12-8=4
Now we know S1=a1
a2=S2-S1
a2=4-(-1)=5
Now d = a2-a1= 5-(-1)=6
an= (-1)+(n-1)6= -1+6n-6 = 6n-7
Answered by
1
Answer:
6n - 7
Step-by-step explanation:
Given:
Sₙ = 3n² - 4n
Then,
Sₙ₋₁ = 3(n - 1)² - 4(n - 1)
Now,
Sₙ - Sₙ₋₁ = (3n² - 4n) - {3(n - 1)² - 4(n - 1)}
nth term:
aₙ = (3n² - 4n) - {3(n² - 2n + 1) - 4n + 4}
= 3n² - 4n - {3n² - 6n + 3 - 4n + 4}
= 3n² - 4n - 3n² + 10n - 7
= 6n - 7
Therefore,
Required nth term = 6n - 7.
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